TSTP Solution File: SEV200^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV200^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 17:35:38 EDT 2022
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of formulae : 113 ( 56 unt; 7 typ; 0 def)
% Number of atoms : 814 ( 471 equ; 0 cnn)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 1751 ( 366 ~; 330 |; 65 &; 965 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 577 ( 0 ^ 547 !; 30 ?; 577 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cP,type,
cP: a > a > a ).
thf(tp_cZ,type,
cZ: a ).
thf(tp_sK1_R,type,
sK1_R: a > a > a > $o ).
thf(tp_sK2_Xx0,type,
sK2_Xx0: ( a > $o ) > a ).
thf(tp_sK3_SY33,type,
sK3_SY33: ( a > $o ) > a ).
thf(tp_x,type,
x: a ).
thf(1,conjecture,
( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) )
& ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx0: a,Xy: a] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: a] : ( X @ Xx0 ) ) )
=> ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = cZ )
& ( Xb = Xc ) )
| ( ( Xb = cZ )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ cZ @ x @ x ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cS_LEM1C_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) )
& ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx0: a,Xy: a] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: a] : ( X @ Xx0 ) ) )
=> ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = cZ )
& ( Xb = Xc ) )
| ( ( Xb = cZ )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ cZ @ x @ x ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ )
& ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) )
& ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx0: a,Xy: a] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: a] : ( X @ Xx0 ) ) )
=> ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = cZ )
& ( Xb = Xc ) )
| ( ( Xb = cZ )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ cZ @ x @ x ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx0: a,Xy: a,Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
= ( cP @ Xy @ Xv ) )
=> ( ( Xx0 = Xy )
& ( Xu = Xv ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [X: a > $o] :
( ( ( X @ cZ )
& ! [Xx0: a,Xy: a] :
( ( ( X @ Xx0 )
& ( X @ Xy ) )
=> ( X @ ( cP @ Xx0 @ Xy ) ) ) )
=> ! [Xx0: a] : ( X @ Xx0 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = cZ )
& ( Xb = Xc ) )
| ( ( Xb = cZ )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ cZ @ x @ x ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ~ ! [R: a > a > a > $o] :
( ( $true
& ! [Xa: a,Xb: a,Xc: a] :
( ( ( ( Xa = cZ )
& ( Xb = Xc ) )
| ( ( Xb = cZ )
& ( Xa = Xc ) )
| ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
( ( Xa
= ( cP @ Xx1 @ Xx2 ) )
& ( Xb
= ( cP @ Xy1 @ Xy2 ) )
& ( Xc
= ( cP @ Xz1 @ Xz2 ) )
& ( R @ Xx1 @ Xy1 @ Xz1 )
& ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
=> ( R @ Xa @ Xb @ Xc ) ) )
=> ( R @ cZ @ x @ x ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY20: a] :
( ! [SY21: a,SY22: a] :
( ! [SY23: a,SY24: a,SY25: a,SY26: a,SY27: a,SY28: a] :
( ( SY20
!= ( cP @ SY23 @ SY24 ) )
| ( SY21
!= ( cP @ SY25 @ SY26 ) )
| ( SY22
!= ( cP @ SY27 @ SY28 ) )
| ~ ( sK1_R @ SY23 @ SY25 @ SY27 )
| ~ ( sK1_R @ SY24 @ SY26 @ SY28 ) )
| ( sK1_R @ SY20 @ SY21 @ SY22 ) )
& ! [SY29: a,SY30: a] :
( ( SY20 != cZ )
| ( SY29 != SY30 )
| ( sK1_R @ SY20 @ SY29 @ SY30 ) )
& ! [SY31: a,SY32: a] :
( ( SY31 != cZ )
| ( SY20 != SY32 )
| ( sK1_R @ SY20 @ SY31 @ SY32 ) ) )
& ~ ( sK1_R @ cZ @ x @ x ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(11,plain,
( ( ! [Xx0: a,Xy: a] :
( ( ! [Xu: a,Xv: a] :
( ( cP @ Xx0 @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx0 = Xy ) )
& ! [Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(12,plain,
( ( ! [X: a > $o] :
( ( ( X @ ( sK2_Xx0 @ X ) )
& ( X @ ( sK3_SY33 @ X ) )
& ~ ( X @ ( cP @ ( sK2_Xx0 @ X ) @ ( sK3_SY33 @ X ) ) ) )
| ~ ( X @ cZ )
| ! [Xx0: a] : ( X @ Xx0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(13,plain,
( ( ! [X: a > $o] :
( ( ( X @ ( sK2_Xx0 @ X ) )
& ( X @ ( sK3_SY33 @ X ) )
& ~ ( X @ ( cP @ ( sK2_Xx0 @ X ) @ ( sK3_SY33 @ X ) ) ) )
| ~ ( X @ cZ )
| ! [Xx0: a] : ( X @ Xx0 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [Xx0: a,Xy: a] :
( ( ! [Xu: a,Xv: a] :
( ( cP @ Xx0 @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xx0 = Xy ) )
& ! [Xu: a,Xv: a] :
( ( ( cP @ Xx0 @ Xu )
!= ( cP @ Xy @ Xv ) )
| ( Xu = Xv ) ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ! [Xx0: a,Xy: a] :
( ( cP @ Xx0 @ Xy )
!= cZ ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [SY20: a] :
( ! [SY21: a,SY22: a] :
( ! [SY23: a,SY24: a,SY25: a,SY26: a,SY27: a,SY28: a] :
( ( SY20
!= ( cP @ SY23 @ SY24 ) )
| ( SY21
!= ( cP @ SY25 @ SY26 ) )
| ( SY22
!= ( cP @ SY27 @ SY28 ) )
| ~ ( sK1_R @ SY23 @ SY25 @ SY27 )
| ~ ( sK1_R @ SY24 @ SY26 @ SY28 ) )
| ( sK1_R @ SY20 @ SY21 @ SY22 ) )
& ! [SY29: a,SY30: a] :
( ( SY20 != cZ )
| ( SY29 != SY30 )
| ( sK1_R @ SY20 @ SY29 @ SY30 ) )
& ! [SY31: a,SY32: a] :
( ( SY31 != cZ )
| ( SY20 != SY32 )
| ( sK1_R @ SY20 @ SY31 @ SY32 ) ) )
& ~ ( sK1_R @ cZ @ x @ x ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [SX0: a,SX1: a] :
~ ( ~ ( ! [SX2: a,SX3: a] :
( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX2: a,SX3: a] :
( ( ( cP @ SX0 @ SX2 )
!= ( cP @ SX1 @ SX3 ) )
| ( SX2 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ! [SX3: a,SX4: a,SX5: a,SX6: a,SX7: a,SX8: a] :
( ( SX0
!= ( cP @ SX3 @ SX4 ) )
| ( SX1
!= ( cP @ SX5 @ SX6 ) )
| ( SX2
!= ( cP @ SX7 @ SX8 ) )
| ~ ( sK1_R @ SX3 @ SX5 @ SX7 )
| ~ ( sK1_R @ SX4 @ SX6 @ SX8 ) )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ( SX0 != cZ )
| ( SX1 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX1 != cZ )
| ( SX0 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ~ ( sK1_R @ cZ @ x @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(19,plain,
( ( ! [SX0: a > $o] :
( ~ ( ~ ~ ( ~ ( SX0 @ ( sK2_Xx0 @ SX0 ) )
| ~ ( SX0 @ ( sK3_SY33 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( cP @ ( sK2_Xx0 @ SX0 ) @ ( sK3_SY33 @ SX0 ) ) ) )
| ~ ( SX0 @ cZ )
| ! [SX1: a] : ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(20,plain,
! [SV1: a] :
( ( ! [SY34: a] :
( ( cP @ SV1 @ SY34 )
!= cZ ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(21,plain,
! [SV2: a] :
( ( ! [SY35: a] :
~ ( ~ ( ! [SY36: a,SY37: a] :
( ( cP @ SV2 @ SY36 )
!= ( cP @ SY35 @ SY37 ) )
| ( SV2 = SY35 ) )
| ~ ! [SY38: a,SY39: a] :
( ( ( cP @ SV2 @ SY38 )
!= ( cP @ SY35 @ SY39 ) )
| ( SY38 = SY39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ! [SX3: a,SX4: a,SX5: a,SX6: a,SX7: a,SX8: a] :
( ( SX0
!= ( cP @ SX3 @ SX4 ) )
| ( SX1
!= ( cP @ SX5 @ SX6 ) )
| ( SX2
!= ( cP @ SX7 @ SX8 ) )
| ~ ( sK1_R @ SX3 @ SX5 @ SX7 )
| ~ ( sK1_R @ SX4 @ SX6 @ SX8 ) )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ( SX0 != cZ )
| ( SX1 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX1 != cZ )
| ( SX0 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) )
| ~ ~ ( sK1_R @ cZ @ x @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: a > $o] :
( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) )
| ~ ( SV3 @ cZ )
| ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV4: a,SV1: a] :
( ( ( ( cP @ SV1 @ SV4 )
!= cZ ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ~ ( ! [SY41: a,SY42: a] :
( ( cP @ SV2 @ SY41 )
!= ( cP @ SV5 @ SY42 ) )
| ( SV2 = SV5 ) )
| ~ ! [SY43: a,SY44: a] :
( ( ( cP @ SV2 @ SY43 )
!= ( cP @ SV5 @ SY44 ) )
| ( SY43 = SY44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ! [SX3: a,SX4: a,SX5: a,SX6: a,SX7: a,SX8: a] :
( ( SX0
!= ( cP @ SX3 @ SX4 ) )
| ( SX1
!= ( cP @ SX5 @ SX6 ) )
| ( SX2
!= ( cP @ SX7 @ SX8 ) )
| ~ ( sK1_R @ SX3 @ SX5 @ SX7 )
| ~ ( sK1_R @ SX4 @ SX6 @ SX8 ) )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ( SX0 != cZ )
| ( SX1 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX1 != cZ )
| ( SX0 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ~ ( sK1_R @ cZ @ x @ x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(28,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) )
| ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV4: a,SV1: a] :
( ( ( cP @ SV1 @ SV4 )
= cZ )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ! [SY41: a,SY42: a] :
( ( cP @ SV2 @ SY41 )
!= ( cP @ SV5 @ SY42 ) )
| ( SV2 = SV5 ) )
| ~ ! [SY43: a,SY44: a] :
( ( ( cP @ SV2 @ SY43 )
!= ( cP @ SV5 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ! [SX0: a] :
~ ( ~ ! [SX1: a,SX2: a] :
( ! [SX3: a,SX4: a,SX5: a,SX6: a,SX7: a,SX8: a] :
( ( SX0
!= ( cP @ SX3 @ SX4 ) )
| ( SX1
!= ( cP @ SX5 @ SX6 ) )
| ( SX2
!= ( cP @ SX7 @ SX8 ) )
| ~ ( sK1_R @ SX3 @ SX5 @ SX7 )
| ~ ( sK1_R @ SX4 @ SX6 @ SX8 ) )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ~ ( ~ ! [SX1: a,SX2: a] :
( ( SX0 != cZ )
| ( SX1 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) )
| ~ ! [SX1: a,SX2: a] :
( ( SX1 != cZ )
| ( SX0 != SX2 )
| ( sK1_R @ SX0 @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ( sK1_R @ cZ @ x @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV5: a,SV2: a] :
( ( ~ ( ! [SY41: a,SY42: a] :
( ( cP @ SV2 @ SY41 )
!= ( cP @ SV5 @ SY42 ) )
| ( SV2 = SV5 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV5: a,SV2: a] :
( ( ~ ! [SY43: a,SY44: a] :
( ( ( cP @ SV2 @ SY43 )
!= ( cP @ SV5 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(36,plain,
! [SV6: a] :
( ( ~ ( ~ ! [SY45: a,SY46: a] :
( ! [SY47: a,SY48: a,SY49: a,SY50: a,SY51: a,SY52: a] :
( ( SV6
!= ( cP @ SY47 @ SY48 ) )
| ( SY45
!= ( cP @ SY49 @ SY50 ) )
| ( SY46
!= ( cP @ SY51 @ SY52 ) )
| ~ ( sK1_R @ SY47 @ SY49 @ SY51 )
| ~ ( sK1_R @ SY48 @ SY50 @ SY52 ) )
| ( sK1_R @ SV6 @ SY45 @ SY46 ) )
| ~ ~ ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) )
| ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(37,plain,
( ( sK1_R @ cZ @ x @ x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(38,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
| ~ ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(39,plain,
! [SV5: a,SV2: a] :
( ( ! [SY41: a,SY42: a] :
( ( cP @ SV2 @ SY41 )
!= ( cP @ SV5 @ SY42 ) )
| ( SV2 = SV5 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(40,plain,
! [SV5: a,SV2: a] :
( ( ! [SY43: a,SY44: a] :
( ( ( cP @ SV2 @ SY43 )
!= ( cP @ SV5 @ SY44 ) )
| ( SY43 = SY44 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(41,plain,
! [SV6: a] :
( ( ~ ! [SY45: a,SY46: a] :
( ! [SY47: a,SY48: a,SY49: a,SY50: a,SY51: a,SY52: a] :
( ( SV6
!= ( cP @ SY47 @ SY48 ) )
| ( SY45
!= ( cP @ SY49 @ SY50 ) )
| ( SY46
!= ( cP @ SY51 @ SY52 ) )
| ~ ( sK1_R @ SY47 @ SY49 @ SY51 )
| ~ ( sK1_R @ SY48 @ SY50 @ SY52 ) )
| ( sK1_R @ SV6 @ SY45 @ SY46 ) )
| ~ ~ ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) )
| ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(42,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(43,plain,
! [SV3: a > $o] :
( ( ( ~ ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV5: a,SV2: a] :
( ( ( ! [SY41: a,SY42: a] :
( ( cP @ SV2 @ SY41 )
!= ( cP @ SV5 @ SY42 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(45,plain,
! [SV5: a,SV7: a,SV2: a] :
( ( ! [SY57: a] :
( ( ( cP @ SV2 @ SV7 )
!= ( cP @ SV5 @ SY57 ) )
| ( SV7 = SY57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV6: a] :
( ( ~ ! [SY45: a,SY46: a] :
( ! [SY47: a,SY48: a,SY49: a,SY50: a,SY51: a,SY52: a] :
( ( SV6
!= ( cP @ SY47 @ SY48 ) )
| ( SY45
!= ( cP @ SY49 @ SY50 ) )
| ( SY46
!= ( cP @ SY51 @ SY52 ) )
| ~ ( sK1_R @ SY47 @ SY49 @ SY51 )
| ~ ( sK1_R @ SY48 @ SY50 @ SY52 ) )
| ( sK1_R @ SV6 @ SY45 @ SY46 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV6: a] :
( ( ~ ~ ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) )
| ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV3: a > $o] :
( ( ( ~ ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV5: a,SV8: a,SV2: a] :
( ( ( ! [SY58: a] :
( ( cP @ SV2 @ SV8 )
!= ( cP @ SV5 @ SY58 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV9: a,SV5: a,SV7: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV7 )
!= ( cP @ SV5 @ SV9 ) )
| ( SV7 = SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV6: a] :
( ( ! [SY45: a,SY46: a] :
( ! [SY47: a,SY48: a,SY49: a,SY50: a,SY51: a,SY52: a] :
( ( SV6
!= ( cP @ SY47 @ SY48 ) )
| ( SY45
!= ( cP @ SY49 @ SY50 ) )
| ( SY46
!= ( cP @ SY51 @ SY52 ) )
| ~ ( sK1_R @ SY47 @ SY49 @ SY51 )
| ~ ( sK1_R @ SY48 @ SY50 @ SY52 ) )
| ( sK1_R @ SV6 @ SY45 @ SY46 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(53,plain,
! [SV6: a] :
( ( ~ ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) )
| ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(54,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) )
| ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(56,plain,
! [SV10: a,SV5: a,SV8: a,SV2: a] :
( ( ( ( ( cP @ SV2 @ SV8 )
!= ( cP @ SV5 @ SV10 ) ) )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(57,plain,
! [SV9: a,SV5: a,SV7: a,SV2: a] :
( ( ( ( ( cP @ SV2 @ SV7 )
!= ( cP @ SV5 @ SV9 ) ) )
= $true )
| ( ( SV7 = SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(58,plain,
! [SV11: a,SV6: a] :
( ( ! [SY59: a] :
( ! [SY60: a,SY61: a,SY62: a,SY63: a,SY64: a,SY65: a] :
( ( SV6
!= ( cP @ SY60 @ SY61 ) )
| ( SV11
!= ( cP @ SY62 @ SY63 ) )
| ( SY59
!= ( cP @ SY64 @ SY65 ) )
| ~ ( sK1_R @ SY60 @ SY62 @ SY64 )
| ~ ( sK1_R @ SY61 @ SY63 @ SY65 ) )
| ( sK1_R @ SV6 @ SV11 @ SY59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(59,plain,
! [SV6: a] :
( ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) )
| ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(60,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK2_Xx0 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(61,plain,
! [SV3: a > $o] :
( ( ( ~ ( SV3 @ ( sK3_SY33 @ SV3 ) ) )
= $false )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[54]) ).
thf(62,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) )
= $false )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV10: a,SV5: a,SV8: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV8 )
= ( cP @ SV5 @ SV10 ) )
= $false )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV9: a,SV5: a,SV7: a,SV2: a] :
( ( ( ( cP @ SV2 @ SV7 )
= ( cP @ SV5 @ SV9 ) )
= $false )
| ( ( SV7 = SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV12: a,SV11: a,SV6: a] :
( ( ! [SY66: a,SY67: a,SY68: a,SY69: a,SY70: a,SY71: a] :
( ( SV6
!= ( cP @ SY66 @ SY67 ) )
| ( SV11
!= ( cP @ SY68 @ SY69 ) )
| ( SV12
!= ( cP @ SY70 @ SY71 ) )
| ~ ( sK1_R @ SY66 @ SY68 @ SY70 )
| ~ ( sK1_R @ SY67 @ SY69 @ SY71 ) )
| ( sK1_R @ SV6 @ SV11 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV6: a] :
( ( ~ ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
! [SV6: a] :
( ( ~ ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK2_Xx0 @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(69,plain,
! [SV3: a > $o] :
( ( ( SV3 @ ( sK3_SY33 @ SV3 ) )
= $true )
| ( ( ~ ( SV3 @ cZ ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
! [SV13: a,SV3: a > $o] :
( ( ( SV3 @ SV13 )
= $true )
| ( ( SV3 @ ( cP @ ( sK2_Xx0 @ SV3 ) @ ( sK3_SY33 @ SV3 ) ) )
= $false )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(71,plain,
! [SV12: a,SV11: a,SV6: a] :
( ( ( ! [SY66: a,SY67: a,SY68: a,SY69: a,SY70: a,SY71: a] :
( ( SV6
!= ( cP @ SY66 @ SY67 ) )
| ( SV11
!= ( cP @ SY68 @ SY69 ) )
| ( SV12
!= ( cP @ SY70 @ SY71 ) )
| ~ ( sK1_R @ SY66 @ SY68 @ SY70 )
| ~ ( sK1_R @ SY67 @ SY69 @ SY71 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV6: a] :
( ( ! [SY53: a,SY54: a] :
( ( SV6 != cZ )
| ( SY53 != SY54 )
| ( sK1_R @ SV6 @ SY53 @ SY54 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(73,plain,
! [SV6: a] :
( ( ! [SY55: a,SY56: a] :
( ( SY55 != cZ )
| ( SV6 != SY56 )
| ( sK1_R @ SV6 @ SY55 @ SY56 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(74,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( sK2_Xx0 @ SV3 ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(75,plain,
! [SV3: a > $o] :
( ( ( SV3 @ cZ )
= $false )
| ( ( SV3 @ ( sK3_SY33 @ SV3 ) )
= $true )
| ( ( ! [SY40: a] : ( SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(76,plain,
! [SV12: a,SV11: a,SV14: a,SV6: a] :
( ( ( ! [SY72: a,SY73: a,SY74: a,SY75: a,SY76: a] :
( ( SV6
!= ( cP @ SV14 @ SY72 ) )
| ( SV11
!= ( cP @ SY73 @ SY74 ) )
| ( SV12
!= ( cP @ SY75 @ SY76 ) )
| ~ ( sK1_R @ SV14 @ SY73 @ SY75 )
| ~ ( sK1_R @ SY72 @ SY74 @ SY76 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(77,plain,
! [SV15: a,SV6: a] :
( ( ! [SY77: a] :
( ( SV6 != cZ )
| ( SV15 != SY77 )
| ( sK1_R @ SV6 @ SV15 @ SY77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[72]) ).
thf(78,plain,
! [SV6: a,SV16: a] :
( ( ! [SY78: a] :
( ( SV16 != cZ )
| ( SV6 != SY78 )
| ( sK1_R @ SV6 @ SV16 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[73]) ).
thf(79,plain,
! [SV17: a,SV3: a > $o] :
( ( ( SV3 @ SV17 )
= $true )
| ( ( SV3 @ ( sK2_Xx0 @ SV3 ) )
= $true )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[74]) ).
thf(80,plain,
! [SV18: a,SV3: a > $o] :
( ( ( SV3 @ SV18 )
= $true )
| ( ( SV3 @ ( sK3_SY33 @ SV3 ) )
= $true )
| ( ( SV3 @ cZ )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(81,plain,
! [SV12: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ! [SY79: a,SY80: a,SY81: a,SY82: a] :
( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SY79 @ SY80 ) )
| ( SV12
!= ( cP @ SY81 @ SY82 ) )
| ~ ( sK1_R @ SV14 @ SY79 @ SY81 )
| ~ ( sK1_R @ SV19 @ SY80 @ SY82 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(82,plain,
! [SV20: a,SV15: a,SV6: a] :
( ( ( SV6 != cZ )
| ( SV15 != SV20 )
| ( sK1_R @ SV6 @ SV15 @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(83,plain,
! [SV21: a,SV6: a,SV16: a] :
( ( ( SV16 != cZ )
| ( SV6 != SV21 )
| ( sK1_R @ SV6 @ SV16 @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(84,plain,
! [SV12: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ! [SY83: a,SY84: a,SY85: a] :
( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SY83 ) )
| ( SV12
!= ( cP @ SY84 @ SY85 ) )
| ~ ( sK1_R @ SV14 @ SV22 @ SY84 )
| ~ ( sK1_R @ SV19 @ SY83 @ SY85 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(85,plain,
! [SV20: a,SV15: a,SV6: a] :
( ( ( ( SV6 != cZ )
| ( SV15 != SV20 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV15 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(86,plain,
! [SV21: a,SV6: a,SV16: a] :
( ( ( ( SV16 != cZ )
| ( SV6 != SV21 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(87,plain,
! [SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ! [SY86: a,SY87: a] :
( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) )
| ( SV12
!= ( cP @ SY86 @ SY87 ) )
| ~ ( sK1_R @ SV14 @ SV22 @ SY86 )
| ~ ( sK1_R @ SV19 @ SV23 @ SY87 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(88,plain,
! [SV20: a,SV15: a,SV6: a] :
( ( ( ( SV6 != cZ ) )
= $true )
| ( ( ( SV15 != SV20 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV15 @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(89,plain,
! [SV21: a,SV6: a,SV16: a] :
( ( ( ( SV16 != cZ ) )
= $true )
| ( ( ( SV6 != SV21 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(90,plain,
! [SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ! [SY88: a] :
( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) )
| ( SV12
!= ( cP @ SV24 @ SY88 ) )
| ~ ( sK1_R @ SV14 @ SV22 @ SV24 )
| ~ ( sK1_R @ SV19 @ SV23 @ SY88 ) ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(91,plain,
! [SV20: a,SV15: a,SV6: a] :
( ( ( SV6 = cZ )
= $false )
| ( ( ( SV15 != SV20 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV15 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(92,plain,
! [SV21: a,SV6: a,SV16: a] :
( ( ( SV16 = cZ )
= $false )
| ( ( ( SV6 != SV21 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(93,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) )
| ( SV12
!= ( cP @ SV24 @ SV25 ) )
| ~ ( sK1_R @ SV14 @ SV22 @ SV24 )
| ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(94,plain,
! [SV6: a,SV20: a,SV15: a] :
( ( ( SV15 = SV20 )
= $false )
| ( ( SV6 = cZ )
= $false )
| ( ( sK1_R @ SV6 @ SV15 @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(95,plain,
! [SV16: a,SV21: a,SV6: a] :
( ( ( SV6 = SV21 )
= $false )
| ( ( SV16 = cZ )
= $false )
| ( ( sK1_R @ SV6 @ SV16 @ SV21 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(96,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) )
| ( SV12
!= ( cP @ SV24 @ SV25 ) )
| ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(97,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) )
| ( SV12
!= ( cP @ SV24 @ SV25 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(98,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ( SV6
!= ( cP @ SV14 @ SV19 ) )
| ( SV11
!= ( cP @ SV22 @ SV23 ) ) )
= $true )
| ( ( ( SV12
!= ( cP @ SV24 @ SV25 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(99,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( ( SV6
!= ( cP @ SV14 @ SV19 ) ) )
= $true )
| ( ( ( SV11
!= ( cP @ SV22 @ SV23 ) ) )
= $true )
| ( ( ( SV12
!= ( cP @ SV24 @ SV25 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(100,plain,
! [SV25: a,SV24: a,SV12: a,SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a] :
( ( ( SV6
= ( cP @ SV14 @ SV19 ) )
= $false )
| ( ( ( SV11
!= ( cP @ SV22 @ SV23 ) ) )
= $true )
| ( ( ( SV12
!= ( cP @ SV24 @ SV25 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(101,plain,
! [SV25: a,SV24: a,SV12: a,SV19: a,SV14: a,SV6: a,SV23: a,SV22: a,SV11: a] :
( ( ( SV11
= ( cP @ SV22 @ SV23 ) )
= $false )
| ( ( SV6
= ( cP @ SV14 @ SV19 ) )
= $false )
| ( ( ( SV12
!= ( cP @ SV24 @ SV25 ) ) )
= $true )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(102,plain,
! [SV23: a,SV22: a,SV11: a,SV19: a,SV14: a,SV6: a,SV25: a,SV24: a,SV12: a] :
( ( ( SV12
= ( cP @ SV24 @ SV25 ) )
= $false )
| ( ( SV6
= ( cP @ SV14 @ SV19 ) )
= $false )
| ( ( SV11
= ( cP @ SV22 @ SV23 ) )
= $false )
| ( ( ~ ( sK1_R @ SV14 @ SV22 @ SV24 ) )
= $true )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(103,plain,
! [SV25: a,SV12: a,SV19: a,SV6: a,SV23: a,SV11: a,SV24: a,SV22: a,SV14: a] :
( ( ( sK1_R @ SV14 @ SV22 @ SV24 )
= $false )
| ( ( SV11
= ( cP @ SV22 @ SV23 ) )
= $false )
| ( ( SV6
= ( cP @ SV14 @ SV19 ) )
= $false )
| ( ( SV12
= ( cP @ SV24 @ SV25 ) )
= $false )
| ( ( ~ ( sK1_R @ SV19 @ SV23 @ SV25 ) )
= $true )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(104,plain,
! [SV22: a,SV11: a,SV14: a,SV6: a,SV24: a,SV12: a,SV25: a,SV23: a,SV19: a] :
( ( ( sK1_R @ SV19 @ SV23 @ SV25 )
= $false )
| ( ( SV12
= ( cP @ SV24 @ SV25 ) )
= $false )
| ( ( SV6
= ( cP @ SV14 @ SV19 ) )
= $false )
| ( ( SV11
= ( cP @ SV22 @ SV23 ) )
= $false )
| ( ( sK1_R @ SV14 @ SV22 @ SV24 )
= $false )
| ( ( sK1_R @ SV6 @ SV11 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(105,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,104,95,94,80,79,70,64,63,37]) ).
thf(106,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV200^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Tue Jun 28 01:26:38 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.34
% 0.11/0.34 No.of.Axioms: 0
% 0.11/0.34
% 0.11/0.34 Length.of.Defs: 0
% 0.11/0.34
% 0.11/0.34 Contains.Choice.Funs: false
% 0.11/0.35 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.18/0.47
% 0.18/0.47 ********************************
% 0.18/0.47 * All subproblems solved! *
% 0.18/0.47 ********************************
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:105,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.47
% 0.18/0.47 %**** Beginning of derivation protocol ****
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47
% 0.18/0.47 %**** End of derivation protocol ****
% 0.18/0.47 %**** no. of clauses in derivation: 106 ****
% 0.18/0.47 %**** clause counter: 105 ****
% 0.18/0.47
% 0.18/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:105,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------